2001 AMC 10AMC 10 20011The median of the listn,n+ 3,n+ 4,n+ 5,n+ 6,n+ 8,n+ 10,n+ 12,n+ 15is 10. What is the mean? (A)4(B)6(C)7(D)10(E)11 2A numberxis 2 more than the product of its reciprocal and its additive inverse.In which interval does the number lie? 3The sum of two numbers isS. Suppose 3 is added to each number and theneach of the resulting numbers is doubled.What is the sum of the final twonumbers? 4What is the maximum number of possible points of intersection of a circle anda triangle? 5How many of the twelve pentominoes pictured below have at least one line ofsymettry? (A)3(B)4(C)5(D)6(E)7Contributors: #H34N1, Silverfalcon, mysmartmouth, worthawholebean, rrusczyk
2001 AMC 106LetP(n) andS(n) denote the product and the sum, respectively, of the digitsof the integern.For example,P(23) = 6 andS(23) = 5.SupposeNis atwo-digit number such thatN=P(N) +S(N). What is the units digit ofN? 7When the decimal point of a certain positive decimal number is moved fourplaces to the right, the new number is four times the reciprocal of the originalnumber. What is the original number?
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- Spring '16
- Math, Numerical digit, Decimal